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3,691,704

23 × 3 × 193 × 797
Abundant Even Composite

3,691,704 factors as 2^3 × 3 × 193 × 797. Its 32 positive divisors give a proper-divisor sum of 5,597,016, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 193 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,288,720
Proper Divisor Sum 5,597,016
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3691693 ← → #3691717

Radix Representation

Decimal 3691704
Binary 1110000101010010111000 (22 bits)
Octal 0o16052270
Hexadecimal 0x3854B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 193 386 579 772 797 1,158 1,544 1,594 2,316 2,391 3,188 4,632 4,782 6,376 9,564 19,128 153,821 307,642 461,463 615,284 922,926 1,230,568 1,845,852 3,691,704

Collatz Trajectory (79 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,691,704 1,845,852 922,926 461,463 1,384,390 692,195 2,076,586 1,038,293 3,114,880 1,557,440 778,720 389,360 194,680 97,340 48,670 24,335 73,006 36,503 109,510 54,755 164,266 82,133 246,400 123,200 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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